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Simplifying 75 = 3(-10t + -3 + 6t) Reorder the terms: 75 = 3(-3 + -10t + 6t) Combine like terms: -10t + 6t = -4t 75 = 3(-3 + -4t) 75 = (-3 * 3 + -4t * 3) 75 = (-9 + -12t) Solving 75 = -9 + -12t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '12t' to each side of the equation. 75 + 12t = -9 + -12t + 12t Combine like terms: -12t + 12t = 0 75 + 12t = -9 + 0 75 + 12t = -9 Add '-75' to each side of the equation. 75 + -75 + 12t = -9 + -75 Combine like terms: 75 + -75 = 0 0 + 12t = -9 + -75 12t = -9 + -75 Combine like terms: -9 + -75 = -84 12t = -84 Divide each side by '12'. t = -7 Simplifying t = -7
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